Extensions 1→N→G→Q→1 with N=D₆ and Q=C₃×C₆

Direct product G=N×Q with N=D₆ and Q=C₃×C₆

		d	ρ	Label	ID
S₃×C₆²		72		S3xC6^2	216,174

Semidirect products G=N:Q with N=D₆ and Q=C₃×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁(C₃×C₆) = C₃²×D₁₂	φ: C₃×C₆/C₃² → C₂ ⊆ Out D₆	72		D6:1(C3xC6)	216,137
D₆⋊₂(C₃×C₆) = C₃²×C₃⋊D₄	φ: C₃×C₆/C₃² → C₂ ⊆ Out D₆	36		D6:2(C3xC6)	216,139

Non-split extensions G=N.Q with N=D₆ and Q=C₃×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.(C₃×C₆) = S₃×C₃×C₁₂	φ: trivial image	72		D6.(C3xC6)	216,136

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Extensions 1→N→G→Q→1 with N=D6 and Q=C3×C6